Search a number
-
+
26845128 = 2333373359
BaseRepresentation
bin110011001100…
…1111111001000
31212111212121000
41212121333020
523333021003
62355215000
7444115452
oct146317710
955455530
1026845128
1114176162
128ba7460
13573bcbb
1437cb2d2
1525541a3
hex1999fc8

26845128 has 64 divisors (see below), whose sum is σ = 76608000. Its totient is φ = 8703936.

The previous prime is 26845127. The next prime is 26845187. The reversal of 26845128 is 82154862.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 26845092 and 26845101.

It is not an unprimeable number, because it can be changed into a prime (26845121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6313 + ... + 9671.

It is an arithmetic number, because the mean of its divisors is an integer number (1197000).

Almost surely, 226845128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26845128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38304000).

26845128 is an abundant number, since it is smaller than the sum of its proper divisors (49762872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26845128 is a wasteful number, since it uses less digits than its factorization.

26845128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3411 (or 3401 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 26845128 is about 5181.2284257693. The cubic root of 26845128 is about 299.4252997685.

The spelling of 26845128 in words is "twenty-six million, eight hundred forty-five thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 296 333 444 666 888 999 1332 1998 2664 3359 3996 6718 7992 10077 13436 20154 26872 30231 40308 60462 80616 90693 120924 124283 181386 241848 248566 362772 372849 497132 725544 745698 994264 1118547 1491396 2237094 2982792 3355641 4474188 6711282 8948376 13422564 26845128